Probability of numbers between 0 and 1

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Homework Help Overview

The discussion revolves around a probability problem concerning the digits of numbers between 0 and 1, specifically focusing on the likelihood that at least five out of the first ten decimal places are less than 5.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the basic probability of a single digit being less than 5 and how that relates to the overall problem. There is also a discussion about whether the focus is on exactly five digits or at least five digits being less than 5.

Discussion Status

The conversation is actively exploring different interpretations of the problem, with some participants clarifying the conditions of the probability being sought. Guidance has been offered regarding the binomial nature of the problem.

Contextual Notes

There is a clarification regarding the requirement of "at least five" digits, which may influence the approach to the problem.

deah
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anybody could help me how to solve this..
between nos. 0 and 1, what is the probability that 5 of its first 10 decimal places is less than 5?
 
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How would you first approach this problem yourself?
 
A.What is the probability that any given digit is less than 5?

B.What is the probability of 5 out of 10 digits being less than 5, using the probability in A?
 
In other words, it is a binomial probability problem!
 
Exactly five or at least five?
 
sorry..

it's at least five..
 

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